Actuarial Notes

Exam 9 Practice Question 9

Study guide: Exam 9

An insurer's investment portfolio holds a mortgage pass-through security. At the start of month 10 of the pool's life, the remaining pool balance is $50,000,000 and the scheduled principal for the month is $150,000. Prepayments are assumed to follow 150% of the PSA benchmark, under which 100% PSA is a conditional prepayment rate (CPR) of 0.2% per month of age, rising to 6% at month 30 and level thereafter.

Calculate the prepayment the insurer should expect from the pool in month 10.

  • A) $83,855
  • B) $124,625
  • C) $126,372
  • D) $390,247
  • E) $1,495,500

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